Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is kevin now?

K = Kevin's age

D = Daniel's age

K = 3D

K - 4 = 5 (D - 4)

Plug in 3D for the K values in the second equation.

3D - 4 = 5 (D - 4) Use the Distributive Property

3D - 4 = 5D - 20 Add 4 to both sides

3D = 5D - 16 Subtract 5D from both sides

-2D = - 16 Divide both sides by - 2

D = 8

Now, plug that D value into the original equation.

K = 3D Plug in the D value

K = 3 (8) Multiply

K = 24

Finally, you can double check your math.

4 years ago, Daniel would've been 4 and Kevin would be 20, so Kevin would've been 5 times as old as Daniel. And 8 x 3 = 24.

So, Kevin is 24.

K=kevin age

d=daniel ae

k is 3 times d

k=3d

4 years ago (k-4 and d-4)

kevin was 5 times as old as dan

k-4=5 (d-4)

we have

k=3d

and

k-4=5 (d-4)

sub 3d for k in second euaiton

3d-4=5 (d-4)

3d-4=5d-20

minus 3d both sides

-4=2d-20

add 20 both sides

16=2d

divide 2

8=d

sub back

k=3d

k=3 (8)

k=24

kevin is 24